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亚纯函数正规族与分担集(英文)
引用本文:田宏根,陈玮,袁文俊.亚纯函数正规族与分担集(英文)[J].数学季刊,2015(2):159-165.
作者姓名:田宏根  陈玮  袁文俊
作者单位:School of Mathematics Science, Xinjiang Normal University;School of Mathematics and Information Science, Guangzhou University
摘    要:In this paper,we study the normality criterion for families of meromorphic functions concerning shared set depending on f∈F.Let F be a family of meromorphic functions in the unit disc A.For each f∈F,all zeros of f have multiplicity at least 2 and there exist nonzero complex numbers b_f,c_f satisfying(i) b_f/c_f is a constant;(ii) min{σ(0,b_f),σ(0,c_f),σ(b_f,c_f)} ≥m for some m 0;(iii) E_f'(S_f)■ E_f(S_f),where S_f = {b_f,c_f}.Then F is normal in A.At the same time,the corresponding results are also proved.The results in this paper improve and generalize the related results of10-11]and

关 键 词:亚纯函数  正规族  multiplicity  generalize  concerning  normality  nonzero  spherical  proof  constants
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